Yusuke Nakamura

Associate Professor, Graduate School of Mathematics, Nagoya University*Profile is at the time of the award.

2025Inamori Research GrantsScience & Engineering

researchmap

Research topics: Application of algebraic geometry to enumerative combinatorics of periodic graphs

Keyword

Summary: The aim of this study is to investigate the properties of the growth sequence of periodic graphs. A periodic graph is a graph with translational symmetry, such as those appearing in tilings and crystal structures. Fixing a vertex of a periodic graph, the number b(n) of vertices reachable from it within at most n steps is called a growth sequence. In this study, we tackle open problems related to this sequence using techniques from ring theory and algebraic geometry.

Comment

This study originated from a pure mathematical interest; however, as it involves tilings and crystal structures, it is an interdisciplinary topic with potential applications in mathematical crystallography and molecular structural chemistry. I would like to actively make use of opportunities to collaborate with researchers from other fields, such as through the Seiwa Scholars Society.

Find other recipients

Science & Engineering

Shun Kojima

The University of Tokyo

Yuki Hibiya

Science & Engineering Mathematics

Shuntaro Tsubaki

Tokyo Institute of Technology

Kazuya Sakai

Tokyo Metropolitan University

Information Science

Masaaki Sadakiyo

Kyushu University

Material Science

Ryo Yazaki

Osaka University

Eiji Yamaguchi

Gifu Pharmaceutical University

Masashi Suzuki

University of Yamanashi

Kohei Ichikawa

Waseda University

Mathematics and Physics

Yoshihiro Tanaka

Nagoya Institute of Technology

Information Science

InaRIS Fellow

Kihiro Yamada

Physics Science & Engineering

Ryota Matsuoka

University of Tsukuba

Material Science

Takayuki Nozaki

Yamaguchi University

Information Science

Taichi Goto

Kyoto University

Material Science

Yuya Tanaka

Material Science

Takashi Kurumaji

Kumamoto University

Ade Irma Suriajaya

Kyushu University

Masakazu Yamazaki

Tokyo Institute of Technology

Shunsuke Sueki

Drug Discovery Pharmacy

Kounosuke Oisaki

Takaiku Sakamoto

Kyoto University

Takuo Tsuda

The University of Electro-Communications

Yukiya Kitayama

Osaka Metropolitan University

Weiwei Zhou

Tohoku University

Hiroaki Shimomoto

Ehime University

Tomoko Shimizu

Keio University

Material Science

Naoji Matsuhisa

Electronics Science & Engineering

Kazumichi Yoshii

Tokushima University

Nao Hamamuki

Hokkaido University

Moritsugu Sakamoto

Nagaoka University of Technology

Yasuaki Hiraoka

Kyoto University

InaRIS Fellow

Tsuyoshi Nishikawa

Kumamoto University

Material Science

Yukinobu Toda

The University of Tokyo

InaRIS Fellow

Daiki Nishiguchi

The University of Tokyo

Satoshi Horike

Kyoto University

Material Science

Shunsuke Fukami

Tohoku University

Material Science

InaRIS Fellow

Keisuke Yamane

Toyohashi University of Technology

Hiroshi Inaba

Tottori University

Material Science

Fumitaka Ishiwari

Osaka University

Material Science

Atsushi Nishizawa

University of Tokyo

Chifumi Nishioka

Kyoto University

Information Science

Nobuhiko Hosono

The University of Tokyo

Shoki Kosai

Ritsumeikan University

Enviromental Conservation Science

Takahiko Masuda

Okayama University

Takuya Maeda

The University of Tokyo

Sho Tanimoto

Kumamoto University

Hironobu Hayashi

National Institute for Materials Science

Sotaro Kusumoto

Kanagawa University

Kazuki Miyata

Kanazawa University

Ikuyuki Mitsuishi

Nagoya University

Taishi Yokoi

Division of Biological Science, Nara Institute of Science and Technology

Material Science

Shotaro Hayashi

Science & Engineering Material Science

Shintaro Takahashi

Gakushuin University

Aki Goto

Japan Aerospace Exploration Agency

Material Science

Kengo Tomida

Tohoku University

Ryohei Kakuchi

Gunma University

Material Science

Atsushi Sekimoto

Chiba University

Yasutomo Ota

The University of Tokyo

Takahisa Shiraishi

Kumamoto University

Tetsuya Hiraiwa

The University of Tokyo

Daishi Fujita

Kyoto University

Material Science

InaRIS Fellow

Seiko Takagi

Hokkaido University

Shota Kariya

Osaka University

Material Science

Manabu Okui

Chuo University

Keisuke Asano

Material Science

Rei Itsukushima

Kyushu Institute of Technology

Trishit Ruj

Okayama University

Mathematics and Physics

Takashi Masuda

Japan Advanced Institute of Science and Technology

Material Science

Keiko Ishii

Chuo University

Mari Einaga

Osaka University

Kyohei Takae

The University of Tokyo

Yoshihiko Okamoto

Nagoya University

Material Science

Tadashi Takayanagi

Kyoto University

InaRIS Fellow

Takamasa Tsukamoto

The University of Tokyo

Yasushi Takahashi

Osaka Prefecture University

Haruki Uchiyama

Nagoya University

Yoichi Sasaki

Kyushu University

Shunsuke Tsuchioka

Takakazu Seki

Hirosaki University

Tomohiro Higashino

Kyoto University

Eiji Yuba

Osaka Prefecture University

Material Science

Kazuma Shinoda

Science & Engineering Information Science

Hiroyoshi Nobukane

Hokkaido University

Eisuke Sato

University of Yamanashi

Material Science

Masahiko Ueda

Science & Engineering Information Science

Hosho Katsura

The University of Tokyo

Kazue Kudo

Ochamomizu University

Yukari Oda

Kyushu University

Material Science

Hajime Sato

Okayama University

Suguru Yoshida

Chemistry Pharmacy

Atsuro Takai

National Institute for Materials Science

Yasuhito Suzuki

Osaka Metropolitan University

Takayuki Umakoshi

Osaka University

Shun Fujii

Keio University

Max Hirschberger

The University of Tokyo

Teppei Araki

Osaka University

Masaki Tanaka

Science & Engineering Material Science

Masahito Sakoda

Hokkaido University

Mathematics and Physics

Takuya Iwashita

Oita University

Mitsuaki Kaneko

Kyoto University

Hiroko Watanabe

Tohoku University

Midori Akiyama

Kyoto University

Material Science

Takeyoshi Tajiri

University of Electro-Communications

Tomoko Fukuyama

Ritsumeikan University

Material Science

Hidemaro Suwa

Science & Engineering Physics

Daichi Chiba

The University of Tokyo

Material Science

Emi Minamitani

Osaka University

Tomohiro Fukushima

Hokkaido University

Shigeru Kaku

Osaka University

Material Science

Shunsuke Yamada

Science & Engineering Material Science

Shun Takahashi

Kyoto Institute of Technology

Takashi Takeda

Science & Engineering Material Science

Yasutaka Kamei

Information Science

InaRIS Fellow

Ryo Takahashi

Ochanomizu University

Masahiro Nomura

The University of Tokyo

Shun Omagari

Institute of Science Tokyo

Masayuki Gon

Kyoto University

Material Science

Takaichi Watanabe

Okayama University

Hideaki Teshima

Science & Engineering Physics Material Science

Hirobumi Tobe

Japan Aerospace Exploration Agency

Material Science

Momoko Deura

The University of Tokyo

Material Science

Kiwamu Watanabe

Chuo University

Mathmatics Mathematics

Nobuyuki Kobayashi

Osaka University

Masao Kamimura

Tokyo University of Science

Material Science